Question

if (p-1) (p+1) (3p+1) are 8n AP, find the value of p

Answer 1

if (p-1) , (p+1) and (3p+1) are in AP then
$p - 1 + 3p + 1 =2( p + 1) \\ = > 4p \: = 2p + 2 \\ = > 2p = 2 \\ = > p = 1$
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